102011002011 has 96 divisors (see below), whose sum is σ = 164053693440. Its totient is φ = 60864131328.

The previous prime is 102011002007. The next prime is 102011002081. The reversal of 102011002011 is 110200110201.

It is a happy number.

It is not a de Polignac number, because 102011002011 - 2² = 102011002007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102011001984 and 102011002002.

It is not an unprimeable number, because it can be changed into a prime (102011002081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26405266 + ... + 26409128.

It is an arithmetic number, because the mean of its divisors is an integer number (1708892640).

Almost surely, 2^102011002011 is an apocalyptic number.

102011002011 is a deficient number, since it is larger than the sum of its proper divisors (62042691429).

102011002011 is a wasteful number, since it uses less digits than its factorization.

102011002011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4057 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102011002011 its reverse (110200110201), we get a palindrome (212211112212).

The spelling of 102011002011 in words is "one hundred two billion, eleven million, two thousand, eleven".